Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
Answer:
x = 11.2
Step-by-step explanation:
hypotenuse = 8.4 (radius) + 5.6 = 14
using the Pythagorean theorem:
x² = 14² - 8.4² = 196 - 70.56 =125.44
x = √125.44 = 11.2
Answer:
see explanation
Step-by-step explanation:
To verify cos²A + sin²A = 1 with A = 90° , then
cos²90° + sin²90°
= (0)² + (1)²
= 0 + 1
= 1